Question

enter the correct answer.
if ( mangle abc = 140^{circ} ) and ( mangle dbc = 36^{circ} ) then ( mangle abd=) ( ^{circ} )

Explanation:

Step1: Analyze the relationship between angles

From the figure, we can see that \(\angle ABC=\angle ABD+\angle DBC\).

Step2: Solve for \(\angle ABD\)

Rearrange the formula to get \(\angle ABD = \angle ABC-\angle DBC\).
Substitute \(m\angle ABC = 140^{\circ}\) and \(m\angle DBC=36^{\circ}\) into the formula:
\(m\angle ABD=140^{\circ}- 36^{\circ}\)
\(m\angle ABD = 104^{\circ}\)

Answer:

\(104\)